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math.OC2026
A branch-and-filter method for mixed-integer linear programming
Nikos Dimou
We develop a new tree-search framework for mixed-integer linear programming problems, which incorporates a filter mechanism as a node-acceptance device. The introduced branch-and-f…
math.OC2026
A Sequential Cubic Programming Method with Second-Order Complexity Guarantees for Equality Constrained Optimization
Nikos Dimou, Michael J. O'Neill
We develop a new method for equality constrained optimization problems based on a sequential cubic programming framework. Each iteration utilizes a step decomposition based on the…